Applications of dampers for vibration control of structures an overview

IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
IC-RICE Conference Issue | Nov-2013, Available @ http://www.ijret.org 6
APPLICATIONS OF DAMPERS FOR VIBRATION CONTROL OF
STRUCTURES: AN OVERVIEW
Vajreshwari Umachagi1
, Katta Venkataramana2
, G. R. Reddy3
, Rajeev Verma4
1, 2
Department of Civil Engineering, NITK, Surathkal 575025
3, 4
Structural & Seismic Engg Section, Reaction Safety Division, BARC, Trombay, Mumbai-400085
vmumachagi@gmail.com, ven.nitk@gmail.com, rssred@ barc.gov.in, rajeev_ballia@yahoo.co.in
Abstract
Dampers have become more popular recently for vibration control of structures, because of their safe, effective and economical
design. This paper presents an overview of literature related to the behavior of dampers on seismically affected structures. The review
includes different types of dampers like metallic dampers, viscoelastic dampers, frictional dampers etc.
Keywords: Seismic response, dampers, structural control systems.
-----------------------------------------------------------------------***---------------------------------------------------------------------
1. INTRODUCTION
Over the past few decades world has experienced numerous
devastating earthquakes, resulting in increased loss of human
life due to collapse of buildings and severe structural damages.
Occurrence of such damages during earthquakes clearly
demonstrates the high seismic hazards and the structures like
residential buildings, lifeline structures, historical structures
and industrial structures need to be designed very carefully to
protect from earthquakes. Structural design approach using
seismic response control is now widely accepted and
frequently applied in Civil Engineering. In recent years, much
attention has been paid to the research and development of
structural control techniques such as passive control system,
active control system, and semi active control system giving
special importance on improvement of wind and seismic
responses of buildings and bridges. Passive control systems do
not require any power supply. Active control systems require
external power supply and operate based on sensors which are
attached within the structures. Semi active control systems are
combination of both passive and active control systems which
require external power supply and they operate based on
sensors attached to within the structures. But when there is no
power supply, passive control systems control the vibration of
structures. Both control systems can be used for strong wind
motion and earthquakes. Serious efforts have been undertaken
to develop the structural control concept into a workable
technology and such devices are installed in structures.
2. LITERATURE REVIEW
Structural control systems increase the energy dissipation
capacity of structures during an earthquake by converting
mechanical energy into heat energy. Different kinds of energy
dissipation systems are given below:
Tuned Mass Dampers (TMDs): Tuned mass dampers
(TMDs) are as shown in Fig.1 (Chakraborty and Roy, 2011
[1]) comprising a mass, spring attached to the structure and are
used for vibration control of structures when subjected to
earthquake excitations. It is a frequency dependent device.
Recently, much research has been carried out such as
analytical, numerical, experimental and optimum solutions of
structures to study the effectiveness of TMDs in reduction of
seismic response of structures. The passive tuned mass damper
(PTMD) was developed and implemented by Lin et al., 1999
[2] for seismic reduction of irregular buildings. Here, five real
earthquakes were considered for numerical and statistical
analysis of five storeys torsionally coupled building. Results
demonstrate that PTMD effectively reduces the response on
building during earthquake. Zuo et al., 2004 [3] have
developed multi degree of freedom tuned mass damper. To
obtain the optimal solution experiments were conducted
sequentially to optimize the two degrees of freedom system.
TMD can be tuned to damp the first two flexural modes of a
free-free beam. Pinkaew et al., 2003 [4] have reported that
structure with tuned mass damper was less effective for
seismic damage reduction. Peter, 2006 [5] has discussed the
theoretical and experimental studies on tuned mass damper for
the seismic retrofitting of existing structures. Almazan et al.,
2007 [6] have observed that new bidirectional and
homogenous tuned mass dampers are very effective in
reducing the seismic response of structures. Marano et al.,
2007 [7] have proposed a linear tuned mass damper for
seismic control of structures by using constrained reliability
based on optimization technique. Further, Marano et al., 2010
[8] have investigated the optimum parameter of tuned mass
damper for minimization of displacement of the structure.
From the results it was concluded that the design variable
mass of the TMD considered was more capable compared to
the solutions obtained without it.

__________________________________________________________________________________________
Tuned Liquid Mass Dampers (TLDs): Tuned liquid mass
damper basically consists of liquid sloshing tanks and liquid
mass depth. Due to liquid sloshing, the damper response of
TLDs is highly nonlinear in nature and also frequency
dependent device. The effectiveness of TLD is increased by
using multiple tuned mass dampers (MTLDs) in which
number of liquid sloshing tanks are increased to reduce the
dynamic response of the structures. These MTLDs can be used
for high rise buildings to reduce the wind and earthquake
vibrations. Advantages of TLDs are low initial and
maintenance cost, easy to install as compared to TMDs. Fujino
et al., 1992 [9] have developed 2D rectangular model of the
tuned liquid damper (TLD) to reduce the dynamic response of
structures. Experiments were performed to make out the
characteristics of TLD and the interaction between the TLD
and structure using the shake table test with a harmonic
external loading. Chakraborty and Debbarma, 2011 [10] have
examined the uncertainty of the bounded system parameters to
study the optimum design of liquid column vibration absorber
(LCVA) for seismic vibration control of structures. The
LCVA is modeled as a SDOF system as shown in Fig.2 which
consists of stiffness of k0, mass of m0, structural damping c0,
length of horizontal portion Bh and length of vertical portion
Le, x (t) & y (t) are horizontal and vertical displacements and
b (t) base acceleration due to earthquake ground motion.
Results show that LCVA tends to reduce the level of
uncertainty. It was also observed that neglecting the effect of
system parameter uncertainty may overestimate the damper
performance.
Friction Dampers: Friction dampers are as shown in Fig. 4
(Pall et al., 1980 [11]) work based on the mechanism of solid
friction for dissipation of vibration energy. Mualla and
Borislav, 2002 [12] have investigated the performance of a
friction damper installed in a single storey steel frame
subjected to seismic loading. Experimental and numerical
results show that the friction damper can improve the dynamic
response of innovative structures as well as the existing
building compared to the conventional design. The
effectiveness of bidirectional frictional forces for the analysis
of piping system when subjected to earthquake ground motion
with friction supports was given by Jangid and Patil, 2009
[13]. The slotted bolt connection type friction damper was
investigated on the seismic retrofitting of the structure by
Robert Levy et al., 2001 [14]. The conceptual design of three
storey steel frame building of seismic retrofitting of existing
building using friction damper was investigated by Lee et al.,
2008 [15] and Tabeshpour & Ebrahimian, 2010 [16].
Metallic Dampers: First hysteretic dampers were
implemented by Skinner et al., 1980 [17] for seismic
protection of buildings. It was implemented to bridges and
base isolated buildings. Metallic dampers were made up of
mild steel plates as shown in Fig. 4 (Soong and Spencer, 2002
[18]). These devices dissipate energy through the inelastic
deformation of metals. Thus, the purpose of metallic damper
was increased in the dynamic response of structures and was
implemented in full scale structures. Curadelli and Riera,
2004 [19] have proposed the metallic damper for seismic
retrofitting of building frames based on reliability method.
Vargas, 2007 [20] has investigated metallic damper with a
viscous damper for reducing the dynamic response of single
degree of freedom system (SDOF). Gang and Hongnan, 2008
[21] have presented new metallic damper with dual functions
such as stiffness and seismic energy dissipation.
Fig.1 The primary structure with TMD system Fig. 2 The LCVA -SDOF system
(Chakraborty and Roy, 2011[1]) (Chakraborty and Debbarma, 2011 [10])
Viscoelastic Dampers: Viscoelastic damper as shown in Fig.
7 (Soong and Spencer, 2002 [18]) consists of viscoelastic
layers bonded with steel plates with viscous materials such as
co-polymers or glassy substances. The energy is dissipated in
the form of shear deformation when mounted on a structure
and they are highly dependent on ambient temperature and
frequency excitation. Diclelia and Mehta, 2007 [22] have
carried out parametric study of steel chevron braced frame

IJRET: International Journal of Research in Engineering and Technology
__________________________________________________________________________________________
IC-RICE Conference Issue | Nov-2013, Available @
system equipped with and without viscoelastic damper when
subjected under seismic load. Choi and Kim
proposed new method of installing viscoelastic cables into
building for seismic control of structures. Chen et a
[24] have analytically studied the seismic performance of
wenchuan hospital structure using viscoelastic damper.
Fig. 3 A typical fluid viscous damper (Feng Qian et al.
[25])
Viscous Dampers: Viscous dampers works based on fluid
flow through orifices. Viscous damper is as shown in Fig.3
(Feng Qian et al., 2012 [25]) consisted viscous wall, piston
with a number of small orifices, cover filled with a silicon or
some liquid material like oil, through which the fluid pass
from one side of the piston to the other. Stefano et al.
[26] have manufactured the viscous damper and it
implemented in 3 storey building structure for seismic control
Fig. 4 Friction damper (Pall et al., 1980 [
Shape Memory Alloys (SMAs): Shape memory
special kind of materials capable of retaining their original
shape when heated at certain temperature. SMAs
in Fig.5 (Sun et al., 2012 [31]) have great potential
within the seismic resistant design and retrofit applications
due to following properties i.e. energy dissipation capabilities,
large elastic strain capacity, hysteretic damping, high and low
cycle fatigue resistance, re-centering capabilities and excellent
corrosion resistance property. Applications of shape memory
alloy in seismic control on structures like seismic
rehabilitation of bridge, and in civil engineering structures.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319
__________________________________________________________________________________________
2013, Available @ http://www.ijret.org
viscoelastic damper when
Choi and Kim, 2010 [23] have
proposed new method of installing viscoelastic cables into
Chen et al., 2010
ied the seismic performance of
enchuan hospital structure using viscoelastic damper.
(Feng Qian et al., 2012
Viscous dampers works based on fluid
is as shown in Fig.3
consisted viscous wall, piston
of small orifices, cover filled with a silicon or
ough which the fluid pass
Stefano et al., 2010
manufactured the viscous damper and it was
implemented in 3 storey building structure for seismic control
of structure with additional viscous damper.
[27] have proposed optimal viscous damper to reduce the
interstory displacement of steel building.
Elasto Plastic Damper or X Plate Dampers:
dampers are thin metallic plates of X or V shape. They consist
of single or group of plates
copper material having different thickness
of dissipating the energy of X plate damper is more effective
during the earthquake by absorbing input energy of the
structure. Satish Kumar et al., 2003 [
elastoplastic passive energy absorbing (PEA) devices as
shown in Fig.8 and carried out the experimental and analytical
studies to reduce large seismic deformation on pipelines
subjected to earthquake.
discussed about retrofitting of reinforced concrete (RCC)
structures by using elasto plastic damper (EPD) under seismic
loads. Pujari and Bakre, 2011 [
X- plate damper (XPD) for seismic response control of
structures. Dampers were
square shaped multistoried building. One building frame
considered was without XPD and one with XPDs in all bays
and time history analysis was carried out using SAP2000.
Numerical results show that the optimum location of
was found to be most effective in reducing the seismic
response of multistoried building.
et al., 1980 [11]) Fig. 5 SMA wire based device (Sun et al., 2012
Shape memory alloys are
special kind of materials capable of retaining their original
SMAs are as shown
have great potential for use
resistant design and retrofit applications
due to following properties i.e. energy dissipation capabilities,
large elastic strain capacity, hysteretic damping, high and low-
centering capabilities and excellent
Applications of shape memory
alloy in seismic control on structures like seismic
rehabilitation of bridge, and in civil engineering structures.
Baratta and Corbi, 2002 [
certainly improve the dynamic response c
eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
8
of structure with additional viscous damper. Attar et al., 2007
proposed optimal viscous damper to reduce the
interstory displacement of steel building.
Elasto Plastic Damper or X Plate Dampers: X plate
dampers are thin metallic plates of X or V shape. They consist
of single or group of plates and are made up of mild steel or
copper material having different thicknesses. The mechanism
of dissipating the energy of X plate damper is more effective
during the earthquake by absorbing input energy of the
structure. Satish Kumar et al., 2003 [28] have proposed an
elastoplastic passive energy absorbing (PEA) devices as
and carried out the experimental and analytical
studies to reduce large seismic deformation on pipelines when
Parulekar et al., 2009 [29] have
about retrofitting of reinforced concrete (RCC)
structures by using elasto plastic damper (EPD) under seismic
loads. Pujari and Bakre, 2011 [30] have studied the effect of
plate damper (XPD) for seismic response control of
structures. Dampers were located at 5 different places of
square shaped multistoried building. One building frame
considered was without XPD and one with XPDs in all bays
and time history analysis was carried out using SAP2000.
Numerical results show that the optimum location of XPDs
was found to be most effective in reducing the seismic
response of multistoried building.
(Sun et al., 2012 [31])
[32] have observed that SMA wires
certainly improve the dynamic response capacity of structures.

__________________________________________________________________________________________
All dimensions are in inches
Fig. 6 X-shaped metallic damper or ADAS (added damping and stiffness) devices
(Soong and Spencer, 2002 [18])
Saadat et al., 2002 [33] have studied the unique thermo
mechanical behavior of shape memory alloy and seismic
applications of NiTi Shape memory alloys. Han, 2003 [34] has
investigated a shape memory alloy wire based damper for
seismic control of structures using finite element method.
Justin et al., 2004 [35] have investigated the effectiveness of
shape memory alloy connecting steel beam- column. Results
show that energy dissipation from these connections is very
high after being subjected to cycles up to 4% drift level. Ocel
and Hurlebaus et al., 2010 [36] have given the overview of
pseudoelasticity effect and characteristics of shape memory
alloy and applications for passive, active and semi active
seismic control of civil structures. Song et al., 2006 [37] have
developed analytical models of concentrically braced frames
with superelastic shape memory alloy (SMA) braces to
evaluate the seismic performance of frames. The two chevrons
(inverted V) braced of three and six story buildings were
selected. The nonlinear dynamic time history analysis was
carried out using the open system for Earthquake Engineering
Simulation (OpenSEES) to determine the dynamic response of
braced frames. The results demonstrate that the SMA braces
are very effective compared to conventional methods. Jason et
al., 2007 [38] have investigated four different types of shape
memory alloy (SMA) dampers based on different
crystallographic phases of SMA to reduce structural damage
of the system during an earthquake. The different damper
systems were implemented in a given structure and the
behaviors of the systems were compared analytically with the
buckling restrained steel bracing system.
Fig. 7 Viscoelastic damper Fig. 8 Elasto plastic damper
(Soong and Spencer, 2002 [18]) (Satish Kumar et al., 2003[28])
Later, Motaharia et al., 2007 [39] have discussed the passive
energy dissipation systems and their modern applications for
seismic protection of structures. Charney et al., 2008 [40] have
developed the tension/compression device using NiTi shape
memory alloy. The designed elements were used as bracings
in the building for seismic response control on structures. The
proposed device showed good damping behavior to form the
basis for a Nitinol damping devices. The seismic performance

__________________________________________________________________________________________
of a sliding-type base isolation system was studied by
Matthew et al., 2009 [41] with the effect of temperature. A
multi-span continuous bridge was modeled with a steel-Teflon
sliding bearings and an SMA device. A multi-objective
genetic algorithm optimization process was considered to
obtain the design parameters of SMA device such as length
and cross sectional of NiTi wires. Neuro-fuzzy model was
used for simulating the superelastic behavior of NiTi shape
memory alloys. A time domain method was used to generate
the ground motion records for time history analysis of an
isolated bridge, for a given design spectrum. Chuang et al.,
2010 [42] and Mohamed Omar, 2011 [43] have investigated
the design and analysis of steel braced frame structures with
shape memory alloy braces for seismic control on structures.
Sun et al., 2012 [31] did a review on three different stimuli-
responsive SMMs, namely shape memory alloys (SMA),
shape memory polymers (SMP) and newly emerged shape
memory hybrids (SMHs) and also discussed their engineering
applications and implementation in engineering design and
practice.
CONCLUSIONS
Recently, use of seismic control systems has increased but
choosing best damper and installing it into a building is very
important for reducing vibration in structures when subjected
to seismic loading. The controlling devices reduce damage
significantly by increasing the structural safety, serviceability
and prevent the building from collapse during the earthquake.
Therefore many researches are being carried out to find the
best solution. This paper attempts to provide an overview of
different types of seismic response control devices, and
highlights some of the recent developments. The experimental
and analytical investigations carried out by various researchers
clearly demonstrate that the seismic control method has the
potential for improving the seismic performance of structures.
ACKNOWLEDGEMENTS
Authors gratefully acknowledge the financial support received
from BARC, for carrying out this study.
REFERENCES
[1] S Chakraborty and B. K. Roy, “Reliability based
optimum design of Tuned Mass Damper in seismic
vibration control of structures with bounded uncertain
parameters”, Probabilistic Engineering Mechanics, Vol.
26, 2011, pp. 215–221.
[2] C. C. Lin et al., “Seismic response reduction of
irregular buildings using passive tuned mass dampers”,
Engineering Structures, Vol.22, 1999, pp. 513–524.
[3] Zuo et al., “Optimization of multi-degree-of-freedom
tuned-mass dampers”, Journal of Sound and Vibration
272, 2004, pp. 893–908.
[4] Pinkaew et al., “Seismic effectiveness of tuned mass
dampers for damage reduction of structures”,
[5] N. Peter, “Tuned-Mass Systems for the Seismic
Retrofit of Buildings”, Seventh International Congress
on Advances in Civil Engineering: 2006.
[6] J.L. Almazan et al., “A bidirectional and homogeneous
tuned mass damper: A new device for passive control
of vibrations”, Engineering Structures, Vol.29, 2007,
pp. 1548–1560.
[7] G. C. Marano et al., “Constrained reliability-based
optimization of linear tuned mass dampers for seismic
control”, International Journal of Solids and Structures,
Vol.44, 2007, pp. 7370–7388.
[8] G. C. Marano et al, “A comparison between different
optimization criteria for tuned mass dampers design”,
Journal of Sound and Vibration, Vol. 329, 2010, pp.
4880–4890.
[9] Fujino et al., “Tuned Liquid Damper for Suppressing
Horizontal Motion of Structures”, Journal of
Engineering Mechanics (ASCE), Vol. 118, No. 10,
1992.
[10] Chakraborty and Debbarma, “Stochastic earthquake
response control of structures by liquid column
vibration absorber with uncertain bounded system
parameters”, Structural Safety, Vol. 33, 2011, pp. 136–
144.
[11] Pall. A. S et al., “Friction joints for seismic control of
large panel structures”, J. Prestressed Concrete Inst.
Vol. 6, 1980, pp. 38–61.
[12] Mualla and B. Borislav, “Performance of Steel Frames
with a new Friction Damper Device under Earthquake
Excitation”, Engineering Structures, Vol. 24, 2002, pp.
365–371.
[13] R. S. Jangid and V. B. Patil, “Double Friction Dampers
for Wind Excited Benchmark Building”, International
Journal of Applied Science and Engineering, Vol. 7,
No. 2, 2009, pp. 95-114.
[14] Robert Levy et al., “A simple approach to the seismic
design of friction damped braced medium-rise frames”,
Engineering Structures, Vol. 23, 2001, pp 250– 259.
[15] Lee et al., “Design of a bracing-friction damper system
for seismic retrofitting”, Smart Structures and Systems,
Vol. 4, No. 5, 2008, pp. 685-696.
[16] Tabeshpour and Ebrahimian, “Technical Note on
Seismic Retrofit of Existing Structures Using Friction
Dampers”, Asian Journal of Civil Engineering
(Building and housing) Vol. 11, No. 4, 2010, pp. 509-
520.
[17] R.J. Skinner et al., “Hysteresis dampers for earthquake-
resistant structures”, Earthquake Engineering and
Structural Dynamics, Vol.3, 1980, pp. 287–96.
[18] T.T. Soong and B.F. Spencer, “Supplemental energy
dissipation: state-of-the-art and state of-the practice”,

__________________________________________________________________________________________
[19] R. O. Curadelli and J.D. Riera, “Reliability based
assessment of the effectiveness of metallic dampers in
buildings under seismic excitations”, Engineering
Structures, Vol. 26, 2004, pp. 1931–1938.
[20] Vargas, “Seismic Response of Hybrid Systems with
Metallic and Viscous Dampers”, Journal of Structural
Engineering, Vol. 133, No.10, 2007.
[21] L. Gang and L. Hongnan, “Earthquake Resistant
Design Of RC Frame with Dual Functions Metallic
Dampers”, The 14th
World Conference on Earthquake
Engineering: 2008.
[22] Diclelia and Mehta, “Seismic performance of chevron
braced steel frames with and without viscous fluid
dampers as a function of ground motion and damper
characteristics”, Journal of Constructional Steel
Research, Vol.63, 2007, pp.1102–1115.
[23] H Choi and J Kim, “New installation scheme for
viscoelastic damper using cables”, Can. J. Civ. Eng,
Vol. 37, 2010, pp.1201–1211.
[24] X W Chen et al. “Seismic performance of Wenchuan
Hospital Structure with Viscous Damper’’, Struct.
Design Tall Spec. Build. Vol.19, 2010, pp. 397–419.
[25] Feng Qian et al., “Testing of Fluid Viscous Damper”,
15th conference on World Conference on Earthquake
Engineering: 2012.
[26] S. Stefano et al., “A Five-Step Procedure for the
Dimensioning of Viscous Dampers to Be Inserted in
Building Structures”, Journal of Earthquake
Engineering, Vol.14, 2010, pp. 417-447.
[27] T. L. Attar et al., “Controlling All Interstory
Displacements in Highly Nonlinear Steel Buildings
Using Optimal Viscous Damping”, Journal of
Structural Engineering, Vol.133, 2007, pp. 0733-9445.
[28] K. Sathish Kumar et al., “Reduction of Large Seismic
Deformations using Elasto-plastic Passive Energy
Dissipaters ”, Defence Science Journal, Vol. 53, No. 1,
2003, pp. 95-103.
[29] Y. M. Parulekar et al. “Seismic response analysis of
RCC structure with yielding dampers using
linearization techniques”. Nuclear Engineering and
Design, Vol.239, No.11, 2009, pp.3054-3061.
[30] N. N. Pujari and S. V. Bakre, “Optimum Placement of
X-Plate Dampers for Seismic Response Control of
Multistoried Buildings”, International Journal of Earth
Sciences and Engineering, Vol.4, No.6, 2011, pp. 481-
485.
[31] L. Sun et al., “Review Stimulus-responsive shape
memory materials: A review”, Materials and Design,
Vol.33, 2012, pp. 577–640.
[32] A. Baratta and O. Corbi, “On the dynamic behavior of
elastic–plastic structures equipped with pseudoelastic
SMA reinforcements”, Computational Materials
Science, Vol.25, 2002, pp.1–13.
[33] S. Saadat, et al., “An overview of vibration and seismic
applications of NiTi shape memory alloy”, Smart
Mater. Struct. Vol.11, 2002, pp.218–229.
[34] Y.L. Han, “Structural vibration control by shape
memory alloy damper”, Earthquake Engng Struct Dyn,
Vol.32, 2003, pp.483–494.
[35] O. Justin et al., “Steel Beam-Column Connections
Using Shape Memory Alloys”, Journal of Structural
Engineering, Vol. 130, No.5, 2004, pp. 732–740.
[36] O. E. Ocel and S. Hurlebaus, “Evaluation of the
performance of a sliding-type base isolation system
with a NiTi shape memory alloy device considering
temperature effects, Engineering Structures,Vol.32,
2010, pp. 238-249.
[37] G. Song et al., “Applications of shape memory alloys in
civil structures”, Engineering Structures, Vol.28, 2006,
pp. 1266–1274.
[38] M. Jason et al., “Seismic Assessment of Concentrically
Braced Steel Frames with Shape Memory Alloy
Braces”, Journal of Structural Engineering, Vol. 133,
No. 6, 2007, pp. 862–870.
[39] S.A. Motaharia et al., “Implementation of shape
memory alloy dampers for passive control of structures
subjected to seismic excitations”, Journal of
Constructional Steel Research, Vol.63, 2007, pp. 1570–
1579.
[40] Charney et al., “Energy Dissipation Systems for
Seismic Applications: Current Practice and Recent
Developments”, Journal of Structural Engineering, Vol.
134, No. 1, 2008, pp. 3-21.
[41] Matthew et al., “Shape Memory Alloy
Tension/Compression Device for Seismic Retrofit of
Buildings”, JMEPEG, Vol. 18, 2009, pp.746– 753.
[42] Chuang et al., “Design and analysis of braced frames
with shape memory alloy and energy-absorbing hybrid
devices”, Engineering Structures, Vol.32, 2010, pp.
498-507.
[43] Mohamed Omar, “Analytical Prediction of Seismic
Response of Steel Frames with Superelastic Shape
Memory Alloy World Academy of Science”,
Engineering and Technology, Vol. 59, 2011.

Applications of dampers for vibration control of structures an overview

More Related Content

What's hot (20)

Viewers also liked (18)

Similar to Applications of dampers for vibration control of structures an overview (20)

More from eSAT Journals (20)

Recently uploaded (20)

Applications of dampers for vibration control of structures an overview